Controllability of some bilinear and semilinear parabolic problems-Reference-Cited by-同舟云学术

Controllability of some bilinear and semilinear parabolic problems

Published:2019-12-01 Issue:2 Volume:5 Page:222-234
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Khayar M. Jidou¹

Affiliation:

1. Laboratory LAMA , FSDM, University of Sidi Mohamed Ben Abdellah, B.P 1796 Atlas Fez , Morocco

Abstract

Abstract We present in this paper a survey of recent results on the controllability of the parabolic system governed by bilinear control. We first discuss the problem of global controllability which corresponds to the question of whether the solution of the system can be driven to a given state at a some finite time by means of a control. We give some results on the global controllability of bilinear and semilinear reaction-diffusion equations. After this we introduce the case of partial controllability with the control acting on a subregion of the domain. Illustrative examples are also provided.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2019-0016

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